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Show that if \( \left|\frac{z-3 i}{z+3 i}\right|=1, \) then \( z \) is a
real number.
| 2 |
Maths
|
In which kingdom are viruses placed?
| 0 |
Biology
|
Which of the following is correct IUPAC name of the given compound?
A. 2-cyclopropyl-butane
B. 1-Methyl-1-cyclopropyl-propane
c. 2-Propyl-butane
D. Propenyl-butane
| 1 |
Chemistry
|
Nails, horns, the scales on the back of a scaly anteater (pangolin) and the scales on the tail of rat are:
A. Derivative of keratinized epidermal material.
B. Homologous structures.
c. Both (A) and (B)
D. secretions from special skin glands
| 0 |
Biology
|
For which vitamin liver is not the source
\( ? \)
A. Vitamin - \( B_{2} \)
B. Vitamin - \( B_{1} \)
c. vitamin - \( B_{12} \)
D. Vitamin - \( H \)
| 1 |
Chemistry
|
A nucleus has charged of +50 e \( A \) proton is located at a distance of \( 10 \mathrm{m} \)
The potential at this point in volt will be-
| 3 |
Physics
|
The variance of the scores 2,4,6,8,10
is
\( A \cdot 2 \)
B. 4
\( c .6 \)
\( D \)
| 2 |
Maths
|
The density of \( 3 M \) solution of sodium
thiosulphate \( \left(N a_{2} S_{2} O_{3}\right) \) is \( 1.56 g / m L \)
Calculate
(i) amount of \( N a_{2} S_{2} O_{3} \) in \( \% \) w/w
(ii) mole fraction of \( N a_{2} S_{2} O_{3} \)
(iii) Molality of \( N a^{+} \) and \( S_{2} O_{3}^{2-} \) ions
| 1 |
Chemistry
|
If \( A_{2 \times 3}, B_{4 \times 3} \) and \( C_{2 \times 4} \) are three matrices then which of the following is/are defined?
A \( \cdot A C^{T} B \)
в. \( B^{T} C^{T} A \)
c. \( A B^{T} C \)
D. All of these
| 2 |
Maths
|
Without drawing exact triangles, state, giving reasons, whether the given pairs of triangle are congruent or not:
In \( \Delta A B C \) and \( \Delta P B C ; A B= \)
\( \boldsymbol{B P}, \boldsymbol{A C}=\boldsymbol{P C} \)
| 2 |
Maths
|
Carry out the following divisions \( 72 a^{3} b^{4} c^{5} \) by \( 8 a b^{2} c^{3} \)
| 2 |
Maths
|
Select the correct statement (s) about
the compound \( N O\left[B F_{4}\right] \)
This question has multiple correct options
A. It has \( 5 \sigma \) and \( 2 \pi \) bond
B. Nitrogen - oxygen bond length is higher than nitric oxide \( (N O) \)
C. It is a diamagnetic species
D. \( B F \) bond length in this compound is lower than in \( B F_{3} \)
| 1 |
Chemistry
|
Certain substance emits only the
wavelengths, \( \lambda_{1}, \lambda_{2}, \lambda_{3} \) and \( \lambda_{4} \) when it is at a high temperature. When this substance is at a colder temperature, it will absorb only the following wavelengths:
\( A \cdot \lambda_{1} \)
B. \( \lambda_{2} \)
\( c \cdot \lambda_{1} \) and \( \lambda_{2} \)
D. \( \lambda_{1}, \lambda_{2}, \lambda_{3} \) and \( \lambda_{4} \)
| 3 |
Physics
|
By eliminating \( \boldsymbol{\theta} \) from \( \boldsymbol{x}=\boldsymbol{a} \cos ^{2} \boldsymbol{\theta}, \boldsymbol{y}= \)
\( a \sin ^{2} \theta \) the expression is
| 2 |
Maths
|
In Bohr's model of hydrogen atom, let \( P E \) represent potential energy and \( T E \) the total energy. In going to a higher
orbit,
A. \( P E \) increases, \( T E \) decreases
B. \( P E \) decreases, \( T E \) increases
c. \( P E \) increases, \( T E \) increases
D. \( P E \) decreases, \( T E \) decreases
| 3 |
Physics
|
Represent with the help of neat diagrams hydrogen bonding if present
in the molecules of \( \boldsymbol{H} \boldsymbol{F}-\boldsymbol{H}_{2} \boldsymbol{O}, \boldsymbol{H} \boldsymbol{F} \)
\( -N H_{3}, \) aniline \( - \) aniline, \( H_{2} O \)
\( -\boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{O} \boldsymbol{H}, \boldsymbol{H}_{2} \boldsymbol{O}-\boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{O} \boldsymbol{C} \boldsymbol{H}_{3}, \boldsymbol{H}_{2} \boldsymbol{O} \)
\( -\boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4}, \boldsymbol{H}_{2} \boldsymbol{O}-\boldsymbol{N} \boldsymbol{a} \boldsymbol{C l} \)
| 1 |
Chemistry
|
Bond energies can be obtained by using
the following relation:
\( \Delta H(\text { reaction })=\sum \) Bond energy of
bonds, broken in the reactants \( -\sum \)
Bond energy of bonds, formed in the
products
Bond energy depends on three factors:
a. greater is the bond length, lesser is
the bond energy
b. bond energy increases with the bond
multiplicity
c. bond energy increases with the electronegativity difference between the
bonding atoms.
Arrange \( N-H, O-H \) and \( F-H \)
bonds in the decreasing order of bond
energy:
\( \mathbf{A} \cdot F-H>O-H>N-H \)
B \( . N-H>O-H>F-H \)
\( \mathbf{c} \cdot O-H>N-H>F-H \)
D . \( F-H>N-H>O-H \)
| 1 |
Chemistry
|
Solve:
\( \lim _{x \rightarrow} \frac{\sin (2+x)-\sin (2-x)}{x} \)
| 2 |
Maths
|
Tangents are drawn to the circle \( x^{2}+ \)
\( y^{2}=25 \) from the point \( (13,0) . \) Prove
that the angle between them is \( 2 \tan ^{-1}(5 / 12) \) and their equations are
\( 12 y+5 x+65=0 \) and \( 12 y-5 x- \)
\( \mathbf{6 5}=\mathbf{0} \)
| 2 |
Maths
|
Let \( \Delta= \)
\( \left|\begin{array}{ccc}\sin \theta \cos \phi & \sin \theta \sin \phi & \cos \theta \\ \cos \theta \cos \phi & \cos \theta \sin \phi & -\sin \theta \\ -\sin \theta \sin \phi & \sin \theta \cos \phi & 0\end{array}\right|, \) then
A. \( \Delta \) is independent of \( \theta \)
B. \( \Delta \) is independent of \( \phi \)
\( \mathrm{c} \cdot \Delta \) is a constant
D. none of these
| 2 |
Maths
|
Anabaena is an example for
A. Protista
B. Fungi
C . Bryophyte
D. Monera
| 0 |
Biology
|
Identify if a given sequence of numbers is an arithmetic progression or not.
a) \( 8,17,26,35, \dots \)
b) \( -4,-9,-16,-25, \)
| 2 |
Maths
|
Evaluate the following integrals:\( \int \frac{x+1}{\sqrt{x^{2}-x+1}} d x \)
| 2 |
Maths
|
Which of the following are examples of
the null
Set of all even prime numbers.
A. True
B. False
| 2 |
Maths
|
Balance the following equation taking place in basic solution.
\( \boldsymbol{F} \boldsymbol{e}(\boldsymbol{O} \boldsymbol{H})_{2}(\boldsymbol{s})+\boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{F} \boldsymbol{e}(\boldsymbol{O} \boldsymbol{H})_{3}(\boldsymbol{s}) \)
A \( \cdot 4 \mathrm{Fe}(O H)_{2}(s)+2 H_{2} O(l)+O_{2}(g) \longrightarrow 4 \mathrm{Fe}(O H)_{3}(s) \)
B. \( 4 \mathrm{Fe}(\mathrm{OH})_{2}(s)+\mathrm{H}_{2} \mathrm{O}_{2}(l)+O_{2}(g) \longrightarrow 4 \mathrm{Fe}(\mathrm{OH})_{3}(s) \)
\( \mathbf{c} \cdot 4 F e(O H)_{3}(s)+2 H_{2} O(l)+O_{2}(g) \longrightarrow 4 F e(O H)_{3}(s) \)
D. None of these
| 1 |
Chemistry
|
If the earth expands suddenly to twice its diameter, what would be length of
the day?
| 3 |
Physics
|
Which of the following phenomena contributes significantly to the reddish appearance of the sun at sunrise or
sunset?
A. Dispersion of light
B. Scattering of light
c. Total internal reflection of light
D. Reflection of light from the earth
| 3 |
Physics
|
FHEMENT-1: \( \left[\lim _{x \rightarrow 0} \frac{\sin x}{x}\right]=0 \)
STATEMENT-2: For \( \boldsymbol{x} \in(-\boldsymbol{\delta}, \boldsymbol{\delta}), \) where \( \boldsymbol{\delta} \)
is positive and \( \delta \rightarrow 0, \tan x>x \)
A. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is a correct explanation for STATEMENT
B. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is not the correct explanation for STATEMENT-1
c. STATEMENT-1 is True, STATEMENT-2 is False
D. STATEMENT-1 is False, STATEMENT-2 is True
| 2 |
Maths
|
In an optical fibre
A. Core region is transparent, cladding is opaque.
B. Core region is opaque, cladding is transparent.
C. Both core and cladding regions are transparent.
D. Both core and cladding regions are opaque.
| 3 |
Physics
|
When a low flying aircraft passes over head, we sometimes notice a slight
shaking of the picture on our TV screen Identify the optical phenomenon behind ¡t.
| 3 |
Physics
|
Show that the lines \( \frac{x-1}{2}=\frac{y-2}{3}= \) \( \frac{z-3}{4} \) and \( 4 x-3 y+1=0=5 x- \)
\( 3 z+2 \) are interesting lines. Also find
point of intersection.
| 2 |
Maths
|
Evaluate:
\( \int[\sin (\log x)+\cos (\log x)] d x \)
| 2 |
Maths
|
In the circuit shown here, the ammeter
\( A \) reads \( 5 A \) and the voltmeter \( V \) reads
20V.Find the correct value of resistance
| 3 |
Physics
|
What is meant by shortsightedness?
| 3 |
Physics
|
With partial pressure of \( \boldsymbol{S O}_{3} \) and \( \boldsymbol{S O}_{2} \)
taken to be equal to \( 10^{-5} \) atm and 10 atm respectively then what must be the
partial pressure of \( \boldsymbol{O}_{2} \) so that the reaction may remain in equilibrium?
A . 10 atm
B. 0.01 atm
c. 100 atm
D. 0.1 atm
| 1 |
Chemistry
|
The energy of a particle executing simple harmonic motion is given by the equation \( \boldsymbol{E}=\boldsymbol{A} \boldsymbol{x}^{2}+\boldsymbol{B} \boldsymbol{v}^{2} \) where \( \boldsymbol{x} \) is the
displacement from mean position \( \boldsymbol{x}= \)
0 and \( v \) is the velocity of the particle at
\( x . \) Find the amplitude of \( S . H . M \)
| 3 |
Physics
|
Yellow colour in the flame denotes
A. outermost part
B. middle zone
c. innermost zone
D. none of these
| 1 |
Chemistry
|
The time period of the hour hand of a watch is
\( A \cdot 24 h \)
B. 12 \( h \)
\( c \cdot 1 h \)
D. 1 min
| 3 |
Physics
|
The molarity of \( C l^{-}(100 \mathrm{ml}) \) ions in the
solution after 0.2 moles \( H C l \) are mixed
with 0.1 moles \( C a C l_{2} \) solution?
A. 0.8 m
B. 0.04 М
\( c .0 .4 \mathrm{M} \)
D. 0.08 м
| 1 |
Chemistry
|
The \( p K_{a} \) of \( \mathrm{HCN} \) is \( 9.30 . \) The pH of a
solution prepared by mixing 2.5 moles
of KCN and 2.5 moles of HCN in water
and making up the total volume of 500 \( \mathrm{ml} \) is:
A . 9.30
B. 7.30
c. 10.30
D. 8.30
| 1 |
Chemistry
|
Assertion
The fungi are widespread in distribution and they even live on or inside other plants and animals.
Reason
Fungi are able to grow anywhere on land, water or on other organisms
because they have a variety of pigments, including chlorophyll, carotenoids, fucoxanthin and
phycoerythrin.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
| 0 |
Biology
|
There are 6 Higher Secondary Schools, 8 High Schools and 13 Primary Schools in a town. Represent these data in the form
of \( 3 \times 1 \) and \( 1 \times 3 \) matrices.
| 2 |
Maths
|
Find the equation of the ellipse in the standard form whose distance between
foci is 2 and the length of latus rectum is \( \frac{15}{2} \)
| 2 |
Maths
|
Why zinc metal is used for
galvanisation?
A. zinc get corroded easily than iron
B. zinc does not corrode
c. corrosion constant of iron increase
D. All of the above
| 1 |
Chemistry
|
if \( \boldsymbol{y}=\boldsymbol{x}^{2}-\boldsymbol{9} \boldsymbol{x}+\mathbf{5} \) find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \)
| 2 |
Maths
|
Which one of the following systems has the smallest sized domains in its
dispersed phase?
A. Nanoemulsion
B. Coarse suspension
c. coarse emulsion
D. Microemulsion
| 1 |
Chemistry
|
The oxidation state of oxygen in \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \)
is:
\( A \cdot+1 \)
B. - -
\( c \cdot+2 \)
\( D \cdot-2 \)
| 1 |
Chemistry
|
The atomic mass of \( 7^{N^{15}} \) is 15.000108
a.m.u. and that is of \( 8^{\circ}^{16} 15.994915 \)
a.m.u. If the mass of a proton is 1.007825
a.m.u. then the minimum energy provided to remove the least tightly bound proton is
B. 12.13 Mev
c. 13.018 Mev
D. 12.13 ev
| 3 |
Physics
|
Large intestine absorbs
A. Digested food
B. Undigested food
c. water
D. Remaining enzymes
| 0 |
Biology
|
\( (X) \) on treatment with sodium
hydroxide followed by the addition of silver nitrate gives white precipitate at room temperature which is soluble in
\( N H_{4} O H .(X) \) can be:
\( A \). chlorobenzene
B. ethyl bromide
c. benzyl chloride
D. vinyl chloride
| 1 |
Chemistry
|
The figure below shows three steps \( (A, \)
B, \( C \) ) of Polymerase Chain Reaction
(PCR). Select the option giving
correct identification together with what it represents?
DNA
A . A - Denaturation at a temperature of about \( 50^{\circ} \mathrm{C} \)
B. C - Extension in the presence of heat stable DNA polymerase
C. A - Annealing with two sets of primers
D. B - Denaturation at a temperature of about \( 98^{\circ} \mathrm{C} \) separating the two DNA strands
| 1 |
Chemistry
|
In a chemical system, \( \boldsymbol{A}(s) \rightleftharpoons 2 \boldsymbol{B}(\boldsymbol{g})+ \)
\( 3 C(g), \) if partial pressure of \( C \) is
doubled, then partial pressure of \( \boldsymbol{B} \) will
be:
A. \( 2 \sqrt{2} \) times the original value
B. \( \frac{1}{2} \) times the original value
c. 2 times the original value
D. \( \frac{1}{2 \sqrt{2}} \) times the original value
| 1 |
Chemistry
|
Show that \( \frac{\sin 2 \alpha+\sin 2 \beta}{\cos 2 \alpha-\cos \beta}=\cot (\beta- \)
\( \boldsymbol{\alpha} \)
| 2 |
Maths
|
Which one of these are essential amino
acids?
A. Glutamic acid
B. Serine
c. Proline
D. Tryptophan
| 1 |
Chemistry
|
The excess of pressure inside a soap bubble is twice the excess pressure inside a soap bubble. The volume of the
first bubble is \( n \) times the volume of the
second where n is
A .0 .125
B. 0.250
c. 1
D.
| 3 |
Physics
|
Which of the following are measures of dispersion?
A. Standard Deviation,Median,Range
B. Standard Deviation,Mode,Range
c. standard Deviation, Variance,Range
D. Mean,Mode,Median
| 2 |
Maths
|
Let \( S=\{1,2, \ldots ., 20\} . \) A subset \( B \) of \( S \) is said to be "nice", if the sum of the elements of \( B \) is \( 203 . \) Then the
probability that a randomly chosen subset of \( S \) is "nice" is:
A \( \cdot \frac{6}{2^{20}} \)
в. \( \frac{5}{2^{20}} \)
c. \( \frac{4}{2^{20}} \)
D. \( \frac{7}{2^{20}} \)
| 2 |
Maths
|
Reverse bias applied to a p-njunction
diode
A. Lowers the potential barrier
B. Decreases the majority charge carriers
C. Raises the potential barrier
D. Change the mass of \( p \) -n junction diode
| 3 |
Physics
|
Crystalline form of carbon having 60 carbon atoms joined together is called:
A. polymer
B. buckminster fullerene
c. coal
D. diamond
| 1 |
Chemistry
|
Assertion
lodination of alkanes is carried out
under reflux conditions in the presence
of reducing agent. Because
Reason
lodination of alkanes take place
explosively.
A. Both Assertion and Reason are correct and the Reason is the correct explanation of the Assertion
B. Both Assertion and Reason are correct but the Reason is not the correct explanation of the Assertion
c. The Assertion is correct but the Reason is incorrect
D. Both Assertion and Reason are incorrect
| 1 |
Chemistry
|
Find the sum of first 15 terms of an A.P.
whose 5 th and 9 th terms are 26 and 42
respectively
| 2 |
Maths
|
Find the area of the triangle \( P Q R \) if coordinates of \( Q \) are (3,2) and the coordinates of mid-points of the sides through \( Q \) are (2,-1) and (1,2)
| 2 |
Maths
|
Which of the following statement
related to hysteresis loop is incorrect?
A. The curve of B against H for a ferromagnetic material is called hysteresis loop
B. The area of B-H curve is a measure of power dissipated per cycle per unit area of the specimen
C. Coercitivity is a measure of the magnetic field required to destroy the residual magnetism of ferromagnetic material
D. The retentivity of a specimen is the measure of magnetic field remaining in the specimen when the magnetising field is removed
| 3 |
Physics
|
A sample of compound is considered to
be optically pure:
A. if only one enantiomer is present
B. if only two enantiomer is present
C. if the compound is having recimic mixture
D. none of the above
| 1 |
Chemistry
|
Solve the following quadratic equation by factorization, the roots are \( \boldsymbol{x}^{2}-(\sqrt{\mathbf{3}}+\mathbf{1}) \boldsymbol{x}+\sqrt{\mathbf{3}}=\mathbf{0} \)
A . 3,1
в. \( \sqrt{2}, \)
c. \( \sqrt{3}, 1 \)
D. \( \sqrt{5}, \)
| 2 |
Maths
|
Bicuspid valve is present in the human heart in between which of the following?
A. Right atrium and right ventricle
B. Left atrium and left ventricle
c. Right and left atria
D. Left atrium and systemic aorta
| 0 |
Biology
|
Your external ear (pinna) is supported by
A. Bone
B. Cartilage
c. Tendon
D. capsule
| 0 |
Biology
|
Cells of the liver manufacture
A. Diastase
B. Amylase
c. Lipase
D. Insulin
E. None of the above
| 0 |
Biology
|
Find out the following squares by using the identities:
\( (10 m-9 n)^{2} \)
| 2 |
Maths
|
Deliquescent substances absorb moisture from the air \( \& \) changes into a solution.
A. True
B. False
| 1 |
Chemistry
|
Substance common in DNA and RNA is
A. Hexose sugar
B. Histamine
c. Thymine
D. Phosphate groups
| 0 |
Biology
|
Let \( \boldsymbol{P}(\boldsymbol{n})=11^{n+2}+12^{2 n+1}, \) then the
least value of the following which \( \boldsymbol{P}(\boldsymbol{n}) \)
is divisible by is
A . 19
B. 7
c. 133
D. none of these
| 2 |
Maths
|
A badminton player won 6 games and lost 4.The fraction of the games he won
is
\( A \cdot \frac{6}{4} \)
B. \( \frac{4}{6} \)
\( c \cdot \frac{6}{10} \)
D. \( \frac{5}{10} \)
| 2 |
Maths
|
Divide \( (10 x-25) \div(2 x-5) \)
| 2 |
Maths
|
\( \lim _{x \rightarrow 0} \frac{27^{x}-9^{x}-3^{x}+1}{\sqrt{2}-\sqrt{1+\cos x}}= \)
\( \mathbf{A} \cdot \mathbf{0} \)
B . \( 8 \sqrt{2}(\log 3)^{2} \)
c. \( 8(\log 3)^{2} \)
D.
| 2 |
Maths
|
The volume of \( 10 \mathrm{N} \) and \( 4 \mathrm{N} \) HCl required to make 1 L of 7 N HCl are:
A. \( 0.5 \mathrm{L} \) of \( 10 \mathrm{N} \) HCl and 0.4 Lof \( 4 \mathrm{N} \) HC (1)
B. 0.6 L of 10 N HCl and 0.6 L of 4 N HCI
c. 0.8 L of \( 10 \mathrm{N} \) HCl and \( 0.7 \mathrm{L} \) of \( 4 \mathrm{N} \) HC
D. 0.75 L of 10 N HCl and 0.4 L of 4 N HCI
| 1 |
Chemistry
|
When mango is placed in dilute aqueous solution of hydrochloric acid, it
A. shrinks
B. swells
c. bursts
D. nothing happens
| 1 |
Chemistry
|
Which of the following is true regarding
an \( N e \) atoms with a mass number of 20
and \( O^{2-} \) ion with a mass number of \( 16 ? \)
A. They contain the same number of protons
B. They contain the same number of neutrons
C. They contain the same number of protons plus netrons
D. The are isoelectronic
E. They are isomers
| 1 |
Chemistry
|
In a triangle \( A B C, D \) and \( E \) are the
midpoints of \( A B \) and \( A C . \) If the area of
\( \triangle A B C=60 \mathrm{sq.cm}, \) then the area of the
\( \triangle A D E \) is equal to
A . 15 sq.m
в. 20 sq.m
\( c .25 \mathrm{sq.m} \)
D. 30 sq.m
| 2 |
Maths
|
The total runs scored by two cricket players Arun and Bharath in 15
matches are 1050 and 900 with
standard deviation 4.2 and 3.0
respectively. Who is better run getter? Who is more consistent in
performance?
| 2 |
Maths
|
Which of the following facts regarding
bond order is not valid?
A. Bond order is given by the number of bonds between the two atoms in a molecule
B. With increase in bond order, bond enthalpy of the molecule decreases
C. Isoelectronic molecules and ions have identical bond
orders
D. With increase in bond order, bond length decreases
| 1 |
Chemistry
|
An advantage of excreting nitrogeneous
wastes in the form of uric acid is that
A. Uric acid can be excreted in almost solid form.
B. The formation of uric acid requires a great deal of energy.
C. Uric acid is the first metabolic breakdown products of acids.
D. Uric acid may be excreted through the lungs.
| 0 |
Biology
|
The length of an iron wire is \( L \) and area
of cross-section is \( A \). The increase in
length is \( l \) on applying the force \( F \) on its two ends. Which of the statement is
correct?
A. Increase in length is inversely proportional to its length
B. Increase in length is proportional to area of crosssection
C. Increase in length is inversely proportional to area of cross-section
D. Increase in length is proportional to Young's modulus
| 3 |
Physics
|
A Diwali rocket is ejecting \( 0.05 k g \) of
gases per second at a velocity of
\( 400 m s^{-1} . \) The repulsive force on the rocket is
A. 20 dyne
B. 20 newton
c. 20 kgwt
D. Sufficient data not given
| 3 |
Physics
|
Directions: In following quesiton, choose the missing term out of the given alternatives Reference:
\( A B C D E F G H I J K L M \)
N O P Q R ST U V W X Y Z
\( Z, X, V, T, R, \dots \dots \)
A. \( O, K \)
в. \( N, M \)
c. \( K, S \)
D. \( M, N \)
E . \( P, N \)
| 2 |
Maths
|
A circular loop carrying a current \( I \) is
placed in the \( x \) -y plane as shown in figure.An uniform magnetic field \( \vec{B} \) is oriented along the positive z-axis.The
loop tends to:
A. expand
B. contract
\( c . \) rotate about x-axis
D. rotate about y-axis
| 3 |
Physics
|
The law of conservation of momentum
is based on Newton's:
A. First law of motion
B. second law of motion
c. Third law of motion
D. law of gravitation
| 3 |
Physics
|
Which type of semi-conductor is formed
when a trivalent impurity is dopped in a pure semiconductor?
| 3 |
Physics
|
Magnetic lines form continuous closed loops. Why?
| 3 |
Physics
|
The law of the mean can also be put in
the form
\( \mathbf{A} \cdot f(a+h)=f(a)-h f^{\prime}(a+q h) 0<q<1 \)
B \( \cdot f(a+h)=f(a)+h f^{\prime}(a+q h) 0<q<1 \)
\( \mathbf{c} \cdot f(a+h)=f(a)+h f^{\prime}(a-q h) 0<q<1 \)
D. \( f(a+h)=f(a)-h f^{\prime}(a-q h) 0<q<1 \)
| 2 |
Maths
|
When the temperature is increased
from \( 0^{\circ} \mathrm{C} \) to \( 273^{\circ} \mathrm{C}, \) in what ratio the
average kinetic energy of molecules changes?
A.
B. 5
\( c \cdot 4 \)
\( D \cdot 2 \)
| 3 |
Physics
|
The electronic configuration of an element is \( 2,8,8,2 . \) This element is :
A. An alkali metal
B. An alkaline earth metal
c. A halogen
D. A noble gas
| 1 |
Chemistry
|
An angiosperm is different from a gymnosperm in the absence of
A. Vascular tissue
B. Ovary
\( c . \) seed
D. Naked ovule
| 0 |
Biology
|
\( N a H_{2} P O_{2} \) and \( N a H P O_{3} \) are acid
salts.
A. True
B. False
| 1 |
Chemistry
|
If \( A \) and \( B \) are two events such that
\( P(A)=\frac{3}{4} \) and \( P(B)=\frac{5}{8}, \) then
\( ^{\mathrm{A}} \cdot P(A \cup B) \geq \frac{3}{4} \)
в. \( P\left(A^{\prime} \cap B\right) \leq \frac{1}{4} \)
c. \( \frac{3}{8} \leq P(A \cap B) \leq \frac{5}{8} \)
D. All of the above
| 2 |
Maths
|
What compounds are identified as contributing to acid rain?
A. Carbon dioxide
B. Sulphur and nitrogen oxides
c. Mercury oxides
D. Phosphates
| 1 |
Chemistry
|
The current flowing through resistance
\( R \) if the rod \( M N \) moves toward left and
the rod \( M^{\prime} N^{\prime} \) moves toward the right is
\( A \)
\[
\frac{B l v}{R+(r / 2)}
\]
в. \( \frac{2 B l v}{R+r} \)
c. zero
\( D \)
\[
\frac{3 B l v}{2(R+r)}
\]
| 3 |
Physics
|
Which of the following is/are the factors on which angle of deviation depend?
A. Refractive index of the prism
B. Angle of the prism
c. Angle of refraction
D. Both A and B
| 3 |
Physics
|
On comparing the ratios \( \frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}} \) and \( \frac{c_{1}}{c_{2}} \)
find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident.
\( \mathbf{6} \boldsymbol{x}-\mathbf{3} \boldsymbol{y}+\mathbf{1 0}=\mathbf{0} ; \mathbf{2} \boldsymbol{x}-\boldsymbol{y}+\mathbf{9}=\mathbf{0} \)
A. Intersect at a point
B. Parallel
c. coincident
D. Data insufficient
| 2 |
Maths
|
Which of the following is Baeyer's reagent?
A. Alkaline \( K M n O_{4} \)
B. Acidic \( K_{2} C r_{2} O_{7} \)
c. Alkaline \( N a_{2} C r_{2} O_{7} \)
D. \( M n O_{2} \)
| 1 |
Chemistry
|
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